Safe Starting Regions for Iterative Methods
Ramon E. Moore, S. T. Jones · SIAM Journal on Numerical Analysis · 1977
A search procedure based on interval computation is given for finding safe starting regions in n dimensions for iterative methods for solving systems of nonlinear equations. The procedure can search an arbitrary n-dimensional rectangle for a safe starting region for a quadratically convergent iterative method. The procedure is more powerful than continuation methods.